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MathGroup Archive 1996

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FindRoot termination criteria

  • To: mathgroup at smc.vnet.net
  • Subject: [mg5510] FindRoot termination criteria
  • From: "Sysabel" <Sysabel at skynet.be>
  • Date: Sat, 14 Dec 1996 19:26:08 -0500
  • Sender: owner-wri-mathgroup at wolfram.com

Could someone tell me what criteria is used in FindRoot to terminate
the search?  
I'm running FindMinimum on
a function that does not have local minima yet it terminates.  I've
tried upping the MaxIterations and the AccuracyGoal but the results
don't seem to improve.

For example :
numerical_solution = FindRoot[f[x]==0, {x, {0,1}},
AccuracyGoal->0.001];

If exact solution is name exact_solution, 

is Findroot exit the search when : 	
	abs(numerical_solution - exact_solution) < 0.001 ???
or when : 				
	abs[f[numerical_solution ] - f[exact_solution]] < 0.001 ???

or others ?

Thanks in advance,
Eric


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